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Finding the Fourth Proportional to 120,139.85, 180,235.64 and 35,906.87

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Solution

The fourth proportional to 120,139.85, 180,235.64 and 35,906.87 is: 53,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.85 : 180,235.64 = 35,906.87 : x
  2. Step 2: Convert to fraction form
    120,139.85/180,235.64 = 35,906.87/x
  3. Step 3: Cross multiply
    120,139.85x = 180,235.64 × 35,906.87
  4. Step 4: Simplify right side
    120,139.85x = 6,471,698,235.20
  5. Step 5: Solve for x
    x = 6,471,698,235.20/120,139.85
  6. Step 6: Final answer
    x = 53,868.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.